561 research outputs found
Mild pro-2-groups and 2-extensions of Q with restricted ramification
Using the mixed Lie algebras of Lazard, we extend the results of the first
author on mild groups to the case p=2. In particular, we show that for any
finite set S_0 of odd rational primes we can find a finite set S of odd
rational primes containing S_0 such that the Galois group of the maximal
2-extension of Q unramified outside S is mild. We thus produce a projective
system of such Galois groups which converge to the maximal pro-2-quotient of
the absolute Galois group of \Q unramified at 2 and . Our results
also allow results of Alexander Schmidt on pro-p-fundamental groups of marked
arithmetic curves to be extended to the case p=2 over a global field which is
either a function field of odd characteristic or a totally imaginary number
field
Mild pro-p-groups with 4 generators
Let p be an odd prime and S a finite set of primes = 1 mod p. We give an
effective criterion for determining when the Galois group G=G_S(p) of the
maximal p-extension of Q unramified outside of S is mild when |S|=4 and the cup
product H^1(G,Z/pZ) \otimes H^1(G,Z/pZ) --> H^2(G,Z/pZ) is surjective.Comment: 12 pages. No figures. LaTe
Police Accountability: The OIPRD as a Technology of Zero Risk
Drawing on Ericson’s (2007a) theory of precautionary logic, this thesis analyzes the Office of the Independent Police Review Director (OIPRD), a civilian oversight agency in Ontario. This thesis focuses on the rationalities that constitute and shape police accountability in OIPRD disciplinary hearing decisions. It is argued the public precaution and risk-adverse officer precaution rationalities shape hearing outcomes. The expansion of public fear of the police in the 21st century led to the formation of the OIPRD, which then implemented zero risk procedures to govern uncertainties about the police. This thesis examines how various components of the OIPRD complaints process are precautionary and contributes to Ericson’s (2007a) theory by displaying how counter-law concepts created a multi-agency approach to monitoring the public police in Ontario
The Shape of Things (September 20-23, 2012)
Program for the The Shape of Things (September 20-23, 2012).
To view the photos from this production of The Shape of Things, please click here
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